Finding the Fourth Proportional to 13,838.01, 19,096.88 and 7,870.54

Step by Step Solution

1. Step 1: Write the proportion equation
   13,838.01 : 19,096.88 = 7,870.54 : x
2. Step 2: Convert to fraction form
   13,838.01/19,096.88 = 7,870.54/x
3. Step 3: Cross multiply
   13,838.01x = 19,096.88 × 7,870.54
4. Step 4: Simplify right side
   13,838.01x = 150,302,670.82
5. Step 5: Solve for x
   x = 150,302,670.82/13,838.01
6. Step 6: Final answer
   x = 10,861.58